133,824
133,824 is a composite number, even.
133,824 (one hundred thirty-three thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 17 × 41. Its proper divisors sum to 250,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 576
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 428,331
- Square (n²)
- 17,908,862,976
- Cube (n³)
- 2,396,635,678,900,224
- Divisor count
- 56
- σ(n) — sum of divisors
- 384,048
- φ(n) — Euler's totient
- 40,960
- Sum of prime factors
- 73
Primality
Prime factorization: 2 6 × 3 × 17 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,824 = [365; (1, 4, 1, 1, 5, 5, 1, 6, 2, 10, 1, 28, 2, 1, 5, 21, 1, 181, 1, 21, 5, 1, 2, 28, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand eight hundred twenty-four
- Ordinal
- 133824th
- Binary
- 100000101011000000
- Octal
- 405300
- Hexadecimal
- 0x20AC0
- Base64
- AgrA
- One's complement
- 4,294,833,471 (32-bit)
- Scientific notation
- 1.33824 × 10⁵
- As a duration
- 133,824 s = 1 day, 13 hours, 10 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγωκδʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋫·𝋤
- Chinese
- 一十三萬三千八百二十四
- Chinese (financial)
- 壹拾參萬參仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133824, here are decompositions:
- 11 + 133813 = 133824
- 13 + 133811 = 133824
- 23 + 133801 = 133824
- 43 + 133781 = 133824
- 101 + 133723 = 133824
- 107 + 133717 = 133824
- 113 + 133711 = 133824
- 127 + 133697 = 133824
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AB 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.192.
- Address
- 0.2.10.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,824 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.